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Finding the points of intersection of two ellipses

  1. Oct 23, 2012 #1
    Does anyone know where I can find an algorithm for the points of intersection of two ellipses existing with arbitrary center points and rotations and having 0, 1, 2, 3 or 4 points of intersection?
     
  2. jcsd
  3. Oct 23, 2012 #2
    If you have the equations of two conic sections, you can find the intersection points by finding the zeros of a 4th degree resultant (in one variable) as shown here following the paragraph starting with "For the intersections of two conics"

    I havn't quality checked the linked page, but at least this method seems sound.
     
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